166125456 has 120 divisors (see below), whose sum is σ = 549756480. Its totient is φ = 45819648.

The previous prime is 166125437. The next prime is 166125461. The reversal of 166125456 is 654521661.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166125456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26391 + ... + 32073.

It is an arithmetic number, because the mean of its divisors is an integer number (4581304).

Almost surely, 2^166125456 is an apocalyptic number.

166125456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166125456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274878240).

166125456 is an abundant number, since it is smaller than the sum of its proper divisors (383631024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166125456 is a wasteful number, since it uses less digits than its factorization.

166125456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5724 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 166125456 is about 12888.9664442111. The cubic root of 166125456 is about 549.7248827914.

The spelling of 166125456 in words is "one hundred sixty-six million, one hundred twenty-five thousand, four hundred fifty-six".